Advances in Cryptology -- CRYPTO 2015: 35th Annual by Rosario Gennaro, Matthew Robshaw PDF

By Rosario Gennaro, Matthew Robshaw

ISBN-10: 3662479885

ISBN-13: 9783662479889

ISBN-10: 3662479893

ISBN-13: 9783662479896

The volume-set, LNCS 9215 and LNCS 9216, constitutes the refereed complaints of the thirty fifth Annual foreign Cryptology convention, CRYPTO 2015, held in Santa Barbara, CA, united states, in August 2015. The seventy four revised complete papers offered have been conscientiously reviewed and chosen from 266 submissions. The papers are geared up within the following topical sections: lattice-based cryptography; cryptanalytic insights; modes and structures; multilinear maps and IO; pseudorandomness; block cipher cryptanalysis; integrity; assumptions; hash capabilities and circulate cipher cryptanalysis; implementations; multiparty computation; zero-knowledge; thought; signatures; non-signaling and information-theoretic crypto; attribute-based encryption; new primitives; and completely homomorphic/functional encryption.

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Extra resources for Advances in Cryptology -- CRYPTO 2015: 35th Annual Cryptology Conference, Santa Barbara, CA, USA, August 16-20, 2015, Proceedings, Part I

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Time Complexities. 66 GHz. 07n using a least-squares fit. Note that the coefficients in the least-squares fits for the time complexities of the GaussSieve and HashSieve are higher than theory suggests, which is in fact consistent with previous experiments in low dimensions [15,19,29,30,33]. This phenomenon seems to be caused purely by the low dimensionality of our experiments. Figure 3d shows that in higher dimensions, the points start to deviate from the straight line, with a better scaling of the time complexity in higher dimensions.

This is sometimes referred to as being a tool in post-quantum cryptography. Let us state the LWE problem. Definition 1. Let n be a positive integer, q an odd prime, and let X be an error distribution selected as the discrete Gaussian distribution on Zq . Fix s to be a secret vector in Znq , chosen according to a uniform distribution. Denote by Ls,X the probability distribution on Znq × Zq obtained by choosing a ∈ Znq uniformly at random, choosing an error e ∈ Zq according to X and returning (a, z) = (a, a, s + e) in Znq × Zq .

In this paper, the divergence Δ(Xσ U ) will be computed numerically. Coded-BKW: Solving LWE Using Lattice Codes 29 We will be interested in a more narrow class of lattices based on q-ary linear codes. If C is a linear [N, k] code over the alphabet of size q, where q is a prime, then a lattice over this code is Λ(C) = {λ ∈ Rn : λ = (c mod q), c ∈ C}. The mapping from the code to the lattice is often referred to as Construction A [14]. The lattice Λ(C) is called the q-ary lattice associated with C.

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Advances in Cryptology -- CRYPTO 2015: 35th Annual Cryptology Conference, Santa Barbara, CA, USA, August 16-20, 2015, Proceedings, Part I by Rosario Gennaro, Matthew Robshaw

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